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Simplifying 2x + -3y + -1z = -6 Solving 2x + -3y + -1z = -6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. 2x + -3y + 3y + -1z = -6 + 3y Combine like terms: -3y + 3y = 0 2x + 0 + -1z = -6 + 3y 2x + -1z = -6 + 3y Add 'z' to each side of the equation. 2x + -1z + z = -6 + 3y + z Combine like terms: -1z + z = 0 2x + 0 = -6 + 3y + z 2x = -6 + 3y + z Divide each side by '2'. x = -3 + 1.5y + 0.5z Simplifying x = -3 + 1.5y + 0.5z
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